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Finding the Third Proportional to 46,260 and 61,500

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Solution

The third proportional to 46,260 and 61,500 is: 81,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,260 : 61,500 = 61,500 : x
  2. Step 2: Convert to fraction form
    46,260/61,500 = 61,500/x
  3. Step 3: Cross multiply
    46,260x = 61,500 × 61,500
  4. Step 4: Simplify right side
    46,260x = 3,782,250,000
  5. Step 5: Solve for x
    x = 3,782,250,000/46,260
  6. Step 6: Final answer
    x = 81,760.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.